2442400007 has 16 divisors (see below), whose sum is σ = 2638248192. Its totient is φ = 2256284160.

The previous prime is 2442400003. The next prime is 2442400019. The reversal of 2442400007 is 7000042442.

It is not a de Polignac number, because 2442400007 - 2² = 2442400003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40703 + ... + 80879.

It is an arithmetic number, because the mean of its divisors is an integer number (164890512).

Almost surely, 2^2442400007 is an apocalyptic number.

2442400007 is a deficient number, since it is larger than the sum of its proper divisors (195848185).

2442400007 is a wasteful number, since it uses less digits than its factorization.

2442400007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40298.

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 2442400007 is about 49420.6435308161. The cubic root of 2442400007 is about 1346.7043538356.

Adding to 2442400007 its reverse (7000042442), we get a palindrome (9442442449).

The spelling of 2442400007 in words is "two billion, four hundred forty-two million, four hundred thousand, seven".